Cooperative transport with selective kinetic constraints

TL;DR

This paper introduces a family of cooperative exclusion processes with selective kinetic constraints, revealing complex density profiles and suggesting relevance to liquids with diffusivity anomalies.

Contribution

It presents a new class of cooperative exclusion processes governed by selective kinetic constraints, with a mean-field analysis explaining their complex density profiles.

Findings

Density profiles can be concave, convex, or both depending on boundary conditions.

Mean-field diffusion equation reproduces the observed behavior.

Suggests relevance to liquids with diffusivity anomalies.

Abstract

We introduce and study a family of cooperative exclusion processes whose microscopic dynamics is governed by selective kinetic constraints. They display, in sharp contrast to the simple symmetric exclusion process, density profiles that can be concave, convex or both, depending on the density of boundary particle reservoirs. A mean-field analysis based on a diffusion equation with a density-dependent diffusion coefficient qualitatively reproduces this behaviour, and suggests its occurrence in liquids with a diffusivity anomaly.